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Finding the Fourth Proportional to 601.53, 901.59 and 533.17

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Solution

The fourth proportional to 601.53, 901.59 and 533.17 is: 799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.53 : 901.59 = 533.17 : x
  2. Step 2: Convert to fraction form
    601.53/901.59 = 533.17/x
  3. Step 3: Cross multiply
    601.53x = 901.59 × 533.17
  4. Step 4: Simplify right side
    601.53x = 480,700.74
  5. Step 5: Solve for x
    x = 480,700.74/601.53
  6. Step 6: Final answer
    x = 799.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.